100011111112221 has 128 divisors (see below), whose sum is σ = 151907846694912. Its totient is φ = 58226688000000.

The previous prime is 100011111112093. The next prime is 100011111112267. The reversal of 100011111112221 is 122211111110001.

It is not a de Polignac number, because 100011111112221 - 2⁷ = 100011111112093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011111112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011111112291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1111177221 + ... + 1111267221.

It is an arithmetic number, because the mean of its divisors is an integer number (1186780052304).

Almost surely, 2^{100011111112221} is an apocalyptic number.

It is an amenable number.

100011111112221 is a deficient number, since it is larger than the sum of its proper divisors (51896735582691).

100011111112221 is a wasteful number, since it uses less digits than its factorization.

100011111112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90423.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100011111112221 its reverse (122211111110001), we get a palindrome (222222222222222).

The spelling of 100011111112221 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-one".